Home
Class 12
MATHS
The value of int (f'(x))/(f(x)log{f(x)}...

The value of `int (f'(x))/(f(x)log{f(x)})dx` is equal to -

A

`log[log{f(x)}]+c`

B

`(f(x))/(log{f(x)})+c`

C

`f(x)log{f(x)}+c`

D

`(1)/(log[log{f(x)}])+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to -

int (f'(x))/(f(x))dx is equal to-

int 2^(x)(f'(x)+f(x)log 2)dx is equal to

int2^(x)(f'(x)+f(x)log2)dx is equal to

Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be a function that satisfies f(x)+g(x)=x^(2) . Then the value of the integral int_(0)^(1) f(x)g(x) dx is equal to -

int2^x(f'(x)+f(x)log2)dx is equal to

int_(0)^(2a)f(x)dx is equal to -

The value of int e^(x)[f(x)+f'(x)]dx is equal to -

If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then the value of int f(x) cos x dx+ int g(x) e^(x) dx is equal to -

int_(a)^(b)f(x)dx is equal to-

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If m, n in R, then the value of I(m,n)=int(0)^(1) t^(m)(1+t)^(n)dt is...

    Text Solution

    |

  2. The value of int(-2)^(2)[p log((1+x)/(1-x))+q log ((1-x)/(1+x))^(-2)+...

    Text Solution

    |

  3. The value of int (f'(x))/(f(x)log{f(x)})dx is equal to -

    Text Solution

    |

  4. The value of int e^(-logx)dx is -

    Text Solution

    |

  5. If f(x)=(e^(x))/(1+e^(x)),I(1)=int(f(-a))^(f(a))xg{x(1-x)}dx and I(2)...

    Text Solution

    |

  6. The value of int sqrt(x)e^(sqrt(x))dx is -

    Text Solution

    |

  7. The value of int(-1)^(1)|1-x| dx is equal to -

    Text Solution

    |

  8. The value of int(0)^((pi)/(8))cos^(3)4 theta d theta is equal to -

    Text Solution

    |

  9. The value of int(dx)/(sin x cos x) is equal to -

    Text Solution

    |

  10. If int (e^(x)(1+sinx))/(1+cos x)dx=e^(x)f(x)+c, then the value of f(x...

    Text Solution

    |

  11. The value of int(0)^(pi) (cosx dx)/(x^(4)+(pi-x)^(4)) is equal to -

    Text Solution

    |

  12. The value of int ((e^(x)-e^(-x))dx)/((e^(x)+e^(-x))log(e^(x)+e^(-x)))...

    Text Solution

    |

  13. The value of lim( n to oo) sum(r =1)^(n) (r )/(n^(2))"sec"^(2)(r^(2))/...

    Text Solution

    |

  14. Let f:R to R be a differentiable function and f(1)=4 and f'(1)=2, then...

    Text Solution

    |

  15. The value of int(-2)^(0) [x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)]dx is equal...

    Text Solution

    |

  16. If a gt 0, then the value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx is e...

    Text Solution

    |

  17. The solution of the differential equation (2y-1)dx-(2x+3)dy=0 is -

    Text Solution

    |

  18. The order and degree of the differential equation ((d^(3)y)/(dx^(3)))...

    Text Solution

    |

  19. The integrating factor of the linear differential equation cos^(2)x(dy...

    Text Solution

    |

  20. The general solution of the differential equation (2x-y+1)dx+(2y-x+1)...

    Text Solution

    |